Asymptotic expansion of oscillatory integrals with singular phases

Published 13 Sep 2022 in math.CA | (2209.05663v1)

Abstract: The purpose of this article is to describe the singularities of one-dimensional oscillatory integrals, whose phases have a certain singularity, in the form of an asymptotic expansion. In the case of the Laplace integral, an analogous result is also given.

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